3 papers
math.GM2025
Raabe's Formula For Gamma Function Via Riemann-Liouville Fractional Integrals And Generalized Glaisher Constants
Efe Gürel
In this paper, we prove Raabe-type integral formulas for gamma function via left and right sided Riemann-Liouville fractional integrals. As corollaries, we give the left and right…
math.NT2025
A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation
Efe Gürel
In this paper, we give an analogue of Wilton's product formula for Dirichlet series that satisfy Hecke's functional equation. We apply our results to obtain identities for Hecke se…
math.CV2025
Novel Proofs For Fundamental Identities Of Weierstrass Sigma And Jacobi Theta Functions
Efe Gürel
In this note, we describe a general procedure to prove functional equations involving quasi-periodic functions. We give novel proofs for fundamental identities of Weierstrass sigma…